how would you texture map a rope?
Create a bezier curve in the shape of your rope.
Create a rope segment with some seamless texture.

Make sure that the bezier curve and the rope segment have origin in the same location.
For the rope segment add Array modifier, set length to Fit curve,
select your bezier curve and tick Merge so it won't generate vertices doubles.
Add Curve modifier and select your rope segment.
Now you should have something like this:

Close the ends of the rope model.